Solve 1/R_{1}=1/1.4+1/1.4=

$$\frac { 1 } { R _ { 1 } } = \frac { 1 } { 1.4 } + \frac { 1 } { 1.4 } =$$

Solve for R_1

$$R_{1}=0.7$$

Steps for Solving Linear Equation

Variable R_{1} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by R_{1}.

$$1=R_{1}\times \frac{1}{1.4}+R_{1}\times \frac{1}{1.4}$$

Expand \frac{1}{1.4} by multiplying both numerator and the denominator by 10.

$$1=R_{1}\times \frac{10}{14}+R_{1}\times \frac{1}{1.4}$$

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

$$1=R_{1}\times \frac{5}{7}+R_{1}\times \frac{1}{1.4}$$

Expand \frac{1}{1.4} by multiplying both numerator and the denominator by 10.

$$1=R_{1}\times \frac{5}{7}+R_{1}\times \frac{10}{14}$$

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

$$1=R_{1}\times \frac{5}{7}+R_{1}\times \frac{5}{7}$$

Combine R_{1}\times \frac{5}{7} and R_{1}\times \frac{5}{7} to get \frac{10}{7}R_{1}.

$$1=\frac{10}{7}R_{1}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{10}{7}R_{1}=1$$

Multiply both sides by \frac{7}{10}, the reciprocal of \frac{10}{7}.

$$R_{1}=1\times \frac{7}{10}$$

Multiply 1 and \frac{7}{10} to get \frac{7}{10}.

$$R_{1}=\frac{7}{10}$$